(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.) (c) What is the probability that the lecture continues beyond the hour for between 90 and 105 sec? (Round your answer to four decimal places.) (d) What is the probability that the lecture continues for at least 105 sec beyond the end of the hour? (Round your answer to four decimal places.)
(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.) (c) What is the probability that the lecture continues beyond the hour for between 90 and 105 sec? (Round your answer to four decimal places.) (d) What is the probability that the lecture continues for at least 105 sec beyond the end of the hour? (Round your answer to four decimal places.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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PLEASE ANSWER THE SECOND PIC WHICH IS THE A,B,C. Reference is the first pic ty!
Transcribed Image Text:(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.)
(c) What is the probability that the lecture continues beyond the hour for between 90 and 105 sec? (Round your answer to four decimal places.)
(d) What is the probability that the lecture continues for at least 105 sec beyond the end of the hour? (Round your answer to four decimal places.)
![A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X - the time that elapses between the end of the hour and the end of the
lecture and suppose the pdf of X is as follows.
Skx² 0≤x≤2
otherwise
(a) Find the value of k. (Enter your answer to three decimal places.)
P(x) = {10²2
Draw the corresponding density curve. [Hint: Total area under the graph of f(x) is 1.]
f(x)
f(x)
1.5
1.0
0.5
O
f(x)
1.5
1.0
F
0.5
0.5
0.5
1.0
1.0
1.5
1.5
WebAssign Plot
2.0
2.0
1.5
1.0
0.5
O
f(x)
1.5
1.0
0.5
0.5
0.5
1.0
1.0
1.5
1.5
2.0
2.0
X
(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4147167-787a-4124-9c1a-9473ac425578%2Ff481aa19-317a-4368-b051-dc177bf528ea%2Fknah0cu_processed.png&w=3840&q=75)
Transcribed Image Text:A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X - the time that elapses between the end of the hour and the end of the
lecture and suppose the pdf of X is as follows.
Skx² 0≤x≤2
otherwise
(a) Find the value of k. (Enter your answer to three decimal places.)
P(x) = {10²2
Draw the corresponding density curve. [Hint: Total area under the graph of f(x) is 1.]
f(x)
f(x)
1.5
1.0
0.5
O
f(x)
1.5
1.0
F
0.5
0.5
0.5
1.0
1.0
1.5
1.5
WebAssign Plot
2.0
2.0
1.5
1.0
0.5
O
f(x)
1.5
1.0
0.5
0.5
0.5
1.0
1.0
1.5
1.5
2.0
2.0
X
(b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.)
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